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Length of horizontal arm of a uniform cr...

Length of horizontal arm of a uniform cross section `U`-tube is `l= 21 cm` and ends of both of the vertical arms are open to surrounding of pressure `10 xx 500 N//m^(2)`. A liquid of density `rho = 10^(3) kg//m^(3)` is poured into the tube such that liquid just fills the horizontal part of the tube. Now one of the open ends is sealed and the tube is then rotated about a vertical axis passing through the other vertical arm With angular velocity `omega_(0) = 10 rad//s`. If length of each vertical arm is `a = 6 cm`, calculate the length of air column in the sealed arm. (in cm)

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The correct Answer is:
`5cm`
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